Optimal Design of High-Frequency Induction Heating Apparatus for Wafer Cleaning Equipment Using Superheated Steam

In this study, wafer cleaning equipment was designed and fabricated using the induction heating (IH) method and a short-time superheated steam (SHS) generation process. To prevent problems arising from the presence of particulate matter in the fluid flow region, pure grade 2 titanium (Ti) R50400 was used in the wafer cleaning equipment for heating objects via induction. The Ti load was designed and manufactured with a specific shape, along with the resonant network, to efficiently generate high-temperature steam by increasing the residence time of the fluid in the heating object. The IH performance of various shapes of heating objects made of Ti was analyzed and the results were compared. In addition, the heat capacity required to generate SHS was mathematically calculated and analyzed. The SHS heating performance was verified by conducting experiments using the designed 2.2 kW wafer cleaning equipment. The performance of the proposed pure Ti-based SHS generation system was found to be satisfactory, and SHS with a temperature higher than 200 °C was generated within 10 s using this system.


Introduction
The cleaning process is the most important task in improving the yield and reliability of the manufacturing process. With advancements in the fabrication technology of liquid crystal displays (LCDs), the size of the mother glass (MG) is continually being increased, and the cleaning processes employed during fabrication are becoming increasingly vital. In particular, the process of depositing a transistor layer on an MG substrate that is employed to fabricate thin film transistors (TFTs) requires a cleaning process for the MG substrate, as shown in Figure 1. Contaminants such as residual organic materials and particulates are present on the surface of work pieces such as semiconductor wafers and the MG of LCDs [1,2]. Cleaning processes for removing such organic materials and particles are indispensable because these substances can generate defects in manufactured products; various cleaning methods have been proposed in this regard [3][4][5]. A wet cleaning method, known as vapor phase cleaning (VPC), is widely used because it is inexpensive and has proven technology. However, wet cleaning methods that involve the use of strong acids are regulated due to environmental pollution and safety issues [6,7]. A dry cleaning method has been developed to compensate for the disadvantages Recently, cleaning equipment that is eco-friendly and has excellent washing capability has been developed using superheated steam (SHS) at a high temperature and pressure [12]. The SHS cleaning equipment uses a heater to heat water contained in a tank to generate SHS at temperatures above 200 °C; then, the SHS is sprayed onto the MG and wafer to clean them. The conventional equipment utilized for generating SHS heats water directly using a heating wire. In this method, the power used to generate SHS is significant and the process is time consuming. Furthermore, in such methods, the preparation time for the cleaning process is long and the precise temperature control capability required for cleaning may be lacking.
In this study, considering the need for a short-time SHS generation process, cleaning equipment that can uniformly heat the heating object with high efficiency was designed by applying the induction heating (IH) method. Common metals, such as cast iron, cannot be used as heating objects in the TFT-LCD cleaning process because of particle problems in the fluid flow area [13,14]. Thus, pure grade 2 titanium (Ti) R50400 was used as the heating object for IH cleaning and IH joule heating of the Ti load. Additionally, the Ti load was designed and manufactured in a specific shape, along with the resonant network, to efficiently generate high-temperature steam by increasing the residence time of the fluid in the heating object. Moreover, several heating objects were designed and manufactured using pure Ti, and the IH performances of the heating objects with respect to the shape were experimentally compared. The SHS heating performance of the proposed cleaning system was verified via experiments using the designed 2.2 kW wafer cleaning equipment.

Analysis of Specific Enthalpy Steam and Titanium Characterization
In this section, the heat capacity for generating SHS is mathematically calculated, and the characteristics of the non-magnetic Ti load are analyzed. The power capacity of the cleaning equipment was selected based on the results of this analysis; in addition, the cleaning equipment is manufactured by new power plasma (NPP) Corporation in Korea.

Calculation of Steam Heat Capacity
SHS is high-temperature steam that is further heated using saturated steam generated from boiling water, as shown in Figure 2. Because SHS is a gas in a low-oxygen state in which only water (H2O) molecules exist, oxidation of the heated object does not occur, and the risk of fire or explosion is reduced [15,16]. Furthermore, SHS has a strong drying ability because it possesses high thermal conductivity. However, as the specific heat capacity of water is relatively higher than that of other substances, the temperature change is slow, as shown in Figure 2a [17][18][19]. Furthermore, it can be observed from Figure 2b that higher temperatures need to be considered because the boiling point varies with the pressure in the cleaning equipment. Thus, it is time consuming to generate SHS above a temperature of 200 °C by rapidly heating water at a room temperature of 25 °C. Therefore, in this Recently, cleaning equipment that is eco-friendly and has excellent washing capability has been developed using superheated steam (SHS) at a high temperature and pressure [12]. The SHS cleaning equipment uses a heater to heat water contained in a tank to generate SHS at temperatures above 200 • C; then, the SHS is sprayed onto the MG and wafer to clean them. The conventional equipment utilized for generating SHS heats water directly using a heating wire. In this method, the power used to generate SHS is significant and the process is time consuming. Furthermore, in such methods, the preparation time for the cleaning process is long and the precise temperature control capability required for cleaning may be lacking.
In this study, considering the need for a short-time SHS generation process, cleaning equipment that can uniformly heat the heating object with high efficiency was designed by applying the induction heating (IH) method. Common metals, such as cast iron, cannot be used as heating objects in the TFT-LCD cleaning process because of particle problems in the fluid flow area [13,14]. Thus, pure grade 2 titanium (Ti) R50400 was used as the heating object for IH cleaning and IH joule heating of the Ti load. Additionally, the Ti load was designed and manufactured in a specific shape, along with the resonant network, to efficiently generate high-temperature steam by increasing the residence time of the fluid in the heating object. Moreover, several heating objects were designed and manufactured using pure Ti, and the IH performances of the heating objects with respect to the shape were experimentally compared. The SHS heating performance of the proposed cleaning system was verified via experiments using the designed 2.2 kW wafer cleaning equipment.

Analysis of Specific Enthalpy Steam and Titanium Characterization
In this section, the heat capacity for generating SHS is mathematically calculated, and the characteristics of the non-magnetic Ti load are analyzed. The power capacity of the cleaning equipment was selected based on the results of this analysis; in addition, the cleaning equipment is manufactured by new power plasma (NPP) Corporation in Korea.

Calculation of Steam Heat Capacity
SHS is high-temperature steam that is further heated using saturated steam generated from boiling water, as shown in Figure 2. Because SHS is a gas in a low-oxygen state in which only water (H 2 O) molecules exist, oxidation of the heated object does not occur, and the risk of fire or explosion is reduced [15,16]. Furthermore, SHS has a strong drying ability because it possesses high thermal conductivity. However, as the specific heat capacity of water is relatively higher than that of other substances, the temperature change is slow, as shown in Figure 2a [17][18][19]. Furthermore, it can be observed from Figure 2b that higher temperatures need to be considered because the boiling point varies with the pressure in the cleaning equipment. Thus, it is time consuming to generate SHS above a temperature of 200 • C by rapidly heating water at a room temperature of 25 • C. Therefore, in this study, the saturated steam was prepared by preheating the water contained in a water supply tank using a heating wire, as illustrated in Figure 3. By applying this method to the steam cleaning process, SHS can be generated within a short time, and thus processing time can be reduced.
Energies 2020, 13, x FOR PEER REVIEW 3 of 16 study, the saturated steam was prepared by preheating the water contained in a water supply tank using a heating wire, as illustrated in Figure 3. By applying this method to the steam cleaning process, SHS can be generated within a short time, and thus processing time can be reduced.  The heat capacity required to heat the saturated steam entering the Ti load for generating SHS should be calculated to determine the power capacity of IH-type cleaning equipment. The expression for the heat capacity required to heat saturated steam to generate SHS is given as follows: where m, c, and ΔT are the mass of the steam, specific heat capacity, and temperature variation, respectively [20]. m can be calculated as follows: Energies 2020, 13, x FOR PEER REVIEW 3 of 16 study, the saturated steam was prepared by preheating the water contained in a water supply tank using a heating wire, as illustrated in Figure 3. By applying this method to the steam cleaning process, SHS can be generated within a short time, and thus processing time can be reduced.     The heat capacity required to heat the saturated steam entering the Ti load for generating SHS should be calculated to determine the power capacity of IH-type cleaning equipment. The expression for the heat capacity required to heat saturated steam to generate SHS is given as follows: heat Q m c T = ⋅ ⋅Δ (1) where m, c, and ΔT are the mass of the steam, specific heat capacity, and temperature variation, respectively [20]. m can be calculated as follows: The heat capacity required to heat the saturated steam entering the Ti load for generating SHS should be calculated to determine the power capacity of IH-type cleaning equipment. The expression for the heat capacity required to heat saturated steam to generate SHS is given as follows: where m, c, and ∆T are the mass of the steam, specific heat capacity, and temperature variation, respectively [20]. m can be calculated as follows: where γ and CMH are the specific weight and cubic meter per hour, respectively. In Equation (2), CMH is equal to the flow rate, and γ can be calculated by multiplying ρ by g (acceleration due to gravity) [20,21]. To generate SHS using the IH process, the pressure and volume of the gas should be considered. These can be calculated using an ideal gas equation (IGE), based on the Boyle-Charles's law, as follows: Using Equation (4), the volume of 1 mole of gas at 1 atm can be derived from the absolute temperature and instantaneous temperature of the gas. The density is calculated using volume, molecular mass, and pressure, as expressed in Equation (5). C p , the specific heat capacity of steam at constant pressure, is calculated using the steam table [22,23]. Therefore, the heat quantity Q heat calculated using Equation (1) is the absolute heat quantity required for heating, and it can be converted into electric power energy for heating the steam by selecting the target temperature and heating time.

Design and Implementation of the Heating Object for Rapid Induction Heating
In the TFT-LCD and wafer cleaning equipment that uses the IH method, SHS is generated by heating the heating object after building up a flow path of the fluid inside the shape of the heating object. However, as shown in Table 1, pure grade 2 Ti R50400, which was used as the heating object in this study, has a low relative permeability and electrical resistivity compared to other magnetic metal materials [23][24][25]. Thus, a high switching frequency and high current were needed to increase the IH joule heat of Ti. The length of the heating object through which the fluid flowed was limited to less than 10 cm to minimize the volume of the cleaning equipment and the transfer path of the steam. In addition, because foreign matter affects fluid purity, the inner surface of the heating object, which constituted the fluid path, was not welded. Therefore, a heating object with a structure in which the inner fluid path was made of pure Ti was designed such that the fluid could stay within a limited length for a long time. A typical heating object, shown in Figure 4, has advantages such as ease of manufacture and simplicity of structure. However, it requires sufficient preheating before the fluid flows due to the fact that the outer surface is heated first in IH and the fluid stay time is short [26][27][28]. Figure 5 shows the IH principle and eddy current distribution when heating a cylindrical heating object. As described above, only the outline was heated based on the results of the simulation of the thermal distribution of a cylindrical heating object. Therefore, considering the characteristics of IH, a shape was proposed in which the fluid path was located within the spiral shape on the outer surface of the heating object, as depicted in Figure 6. In particular, the proposed heating object could secure a much longer fluid movement path in the same length compared to a conventional heating object.
Energies 2020, 13, 6196 5 of 16 Figure 7a shows a heating cylinder made of Ti that was manufactured based on the proposed geometry. The Ti cylinder was designed, with a spiral groove on the outer surface, to be surrounded by a Ti pipe, which constituted the fluid movement path. The inside surface was safe from particulate matter because only the exterior of the cylinder, which was outside the fluid path, was welded. Moreover, while the total length of the shape was 10 cm, the length of the fluid path and the stay time could be increased by changing the shape of the structure. Another advantage of this structure was that the outer surface was heated first in IH. Figure 7b shows the results of a Ti load wound on a 1/4-in copper tubing coil. A general litz wire could not be used because a large current with a high frequency flows through the coil [29]. Therefore, water cooling was performed by flowing distilled water into the coil using a copper tubing coil.  Figure 5 shows the IH principle and eddy current distribution when heating a cylindrical heating object. As described above, only the outline was heated based on the results of the simulation of the thermal distribution of a cylindrical heating object. Therefore, considering the characteristics of IH, a shape was proposed in which the fluid path was located within the spiral shape on the outer surface of the heating object, as depicted in Figure 6. In particular, the proposed heating object could secure a much longer fluid movement path in the same length compared to a conventional heating object. Figure 7a shows a heating cylinder made of Ti that was manufactured based on the proposed geometry. The Ti cylinder was designed, with a spiral groove on the outer surface, to be surrounded by a Ti pipe, which constituted the fluid movement path. The inside surface was safe from particulate matter because only the exterior of the cylinder, which was outside the fluid path, was welded. Moreover, while the total length of the shape was 10 cm, the length of the fluid path and the stay time could be increased by changing the shape of the structure. Another advantage of this structure was that the outer surface was heated first in IH. Figure 7b shows the results of a Ti load wound on a 1/4in copper tubing coil. A general litz wire could not be used because a large current with a high frequency flows through the coil [29]. Therefore, water cooling was performed by flowing distilled water into the coil using a copper tubing coil.

AC current
Eddy current  Figure 4. Structure of heating objects typically employed in the cleaning process. Figure 5 shows the IH principle and eddy current distribution when heating a cylindrical heating object. As described above, only the outline was heated based on the results of the simulation of the thermal distribution of a cylindrical heating object. Therefore, considering the characteristics of IH, a shape was proposed in which the fluid path was located within the spiral shape on the outer surface of the heating object, as depicted in Figure 6. In particular, the proposed heating object could secure a much longer fluid movement path in the same length compared to a conventional heating object. Figure 7a shows a heating cylinder made of Ti that was manufactured based on the proposed geometry. The Ti cylinder was designed, with a spiral groove on the outer surface, to be surrounded by a Ti pipe, which constituted the fluid movement path. The inside surface was safe from particulate matter because only the exterior of the cylinder, which was outside the fluid path, was welded. Moreover, while the total length of the shape was 10 cm, the length of the fluid path and the stay time could be increased by changing the shape of the structure. Another advantage of this structure was that the outer surface was heated first in IH. Figure 7b shows the results of a Ti load wound on a 1/4in copper tubing coil. A general litz wire could not be used because a large current with a high frequency flows through the coil [29]. Therefore, water cooling was performed by flowing distilled water into the coil using a copper tubing coil.

Parameter Analysis of the Titanium Load
In this section, the parameter values of the implemented Ti load are analyzed. The operating frequency and power capacity of the cleaning equipment were selected based on the analyzed parameters. The principle of the IH technology is based on Faraday's law of electromagnetic induction, which states that a magnetic flux is generated when a high-frequency current flows through a coil. This magnetic flux induces an eddy current on the surface of the heating object and generates joule heat, owing to the skin effect [30,31]. Most of this joule heat is distributed within the skin depth (δ), which is a significant factor in determining the inverter operating frequency. The δ can be calculated as follows: where ρ, μr, and f are the resistivity of the material, relative permeability, and frequency of the current flowing in the coil, respectively. This δ is determined from the point when the skin depth of the highfrequency current becomes 1/e (approximately 0.368) times the current density of the surface, and most of the current and power distributions belong to the skin depth from the surface to δ, as shown in Figure 8; therefore, in the IH system, it is advantageous to heat the surface of a heating object under high-frequency operating conditions, since all eddy currents are concentrated on the δ of the surface. Therefore, to increase the low resistivity value of the Ti load, the inverter switching frequency should

Parameter Analysis of the Titanium Load
In this section, the parameter values of the implemented Ti load are analyzed. The operating frequency and power capacity of the cleaning equipment were selected based on the analyzed parameters. The principle of the IH technology is based on Faraday's law of electromagnetic induction, which states that a magnetic flux is generated when a high-frequency current flows through a coil. This magnetic flux induces an eddy current on the surface of the heating object and generates joule heat, owing to the skin effect [30,31]. Most of this joule heat is distributed within the skin depth (δ), which is a significant factor in determining the inverter operating frequency. The δ can be calculated as follows: where ρ, μr, and f are the resistivity of the material, relative permeability, and frequency of the current flowing in the coil, respectively. This δ is determined from the point when the skin depth of the highfrequency current becomes 1/e (approximately 0.368) times the current density of the surface, and most of the current and power distributions belong to the skin depth from the surface to δ, as shown in Figure 8; therefore, in the IH system, it is advantageous to heat the surface of a heating object under high-frequency operating conditions, since all eddy currents are concentrated on the δ of the surface. Therefore, to increase the low resistivity value of the Ti load, the inverter switching frequency should

Parameter Analysis of the Titanium Load
In this section, the parameter values of the implemented Ti load are analyzed. The operating frequency and power capacity of the cleaning equipment were selected based on the analyzed parameters. The principle of the IH technology is based on Faraday's law of electromagnetic induction, which states that a magnetic flux is generated when a high-frequency current flows through a coil. This magnetic flux induces an eddy current on the surface of the heating object and generates joule heat, owing to the skin effect [30,31]. Most of this joule heat is distributed within the skin depth (δ), which is a significant factor in determining the inverter operating frequency. The δ can be calculated as follows: where ρ, µ r , and f are the resistivity of the material, relative permeability, and frequency of the current flowing in the coil, respectively. This δ is determined from the point when the skin depth of the high-frequency current becomes 1/e (approximately 0.368) times the current density of the surface, and most of the current and power distributions belong to the skin depth from the surface to δ, as shown in Figure 8; therefore, in the IH system, it is advantageous to heat the surface of a heating object under high-frequency operating conditions, since all eddy currents are concentrated on the δ of the surface. Therefore, to increase the low resistivity value of the Ti load, the inverter switching frequency should be increased. Generally, the IH system can be represented using a transformer equivalent model in which the coil and load are the primary and secondary sides, respectively [32][33][34]. This transformer equivalent model can be simplified using a series connection circuit of the equivalent inductance L eq and equivalent resistance R eq , as shown in Figure 9. The mathematically analyzed R eq is given as follows: and L eq is calculated as follows: Energies 2020, 13, x FOR PEER REVIEW 7 of 16 be increased. Generally, the IH system can be represented using a transformer equivalent model in which the coil and load are the primary and secondary sides, respectively [32][33][34]. This transformer equivalent model can be simplified using a series connection circuit of the equivalent inductance Leq and equivalent resistance Req, as shown in Figure 9. The mathematically analyzed Req is given as follows: and Leq is calculated as follows: These equivalent parameters, Req and Leq, are dependent on the size of the heating object, the conductivity and permeability of the material, and the operating frequency. The transformer secondary resistance RL, which can be regarded as the resistance component of the Ti cylinder, is determined using the δ value of the eddy current and is calculated as follows: The graph in Figure 10 shows changes in the Req and Leq of the proposed Ti load with frequency variation. Therefore, the output power generated by the actual IH cleaning system is given by the relationship between the resistance and current, as follows: Energies 2020, 13, x FOR PEER REVIEW 7 of 16 be increased. Generally, the IH system can be represented using a transformer equivalent model in which the coil and load are the primary and secondary sides, respectively [32][33][34]. This transformer equivalent model can be simplified using a series connection circuit of the equivalent inductance Leq and equivalent resistance Req, as shown in Figure 9. The mathematically analyzed Req is given as follows: and Leq is calculated as follows: These equivalent parameters, Req and Leq, are dependent on the size of the heating object, the conductivity and permeability of the material, and the operating frequency. The transformer secondary resistance RL, which can be regarded as the resistance component of the Ti cylinder, is determined using the δ value of the eddy current and is calculated as follows: The graph in Figure 10 shows changes in the Req and Leq of the proposed Ti load with frequency variation. Therefore, the output power generated by the actual IH cleaning system is given by the relationship between the resistance and current, as follows: These equivalent parameters, R eq and L eq , are dependent on the size of the heating object, the conductivity and permeability of the material, and the operating frequency. The transformer secondary resistance R L , which can be regarded as the resistance component of the Ti cylinder, is determined using the δ value of the eddy current and is calculated as follows: The graph in Figure 10 shows changes in the R eq and L eq of the proposed Ti load with frequency variation. Therefore, the output power generated by the actual IH cleaning system is given by the relationship between the resistance and current, as follows: where k and N are constants that are related to the permeability and number of turns of the Ti load coil, respectively. Finally, the load current required to generate SHS is calculated using the heat capacity Q heat expressed in Equation (1). where k and N are constants that are related to the permeability and number of turns of the Ti load coil, respectively. Finally, the load current required to generate SHS is calculated using the heat capacity Qheat expressed in Equation (1).

Design of Electric Power Converter Specifications and Simulation Verification
Because the electric power converter for the IH-type cleaning device operates at a high frequency, it must be designed to operate with zero-voltage switching (ZVS) to minimize switching loss [35]. Furthermore, the large current flowing through the coil causes a burden on the electric power converter. Therefore, LCL topology was selected, as shown in Figure 11, to reduce the inverter current on the primary side [36,37] Figure 11. Ti load with LCL topology structure.
As described above, the LCL network topology consists of an inductor (Lmat.) added for impedance matching, a parallel capacitor (Cp), and a Ti load (Leq) at the output stage. Therefore, it is possible to filter the harmonic components through the added Lmat. and Cp. In addition, there is an advantage of increasing the current in the coil of the load while reducing the current flowing through Lmat. based on the resonance network design [38]. The third-order filter network of the LCL topology

Design of Electric Power Converter Specifications and Simulation Verification
Because the electric power converter for the IH-type cleaning device operates at a high frequency, it must be designed to operate with zero-voltage switching (ZVS) to minimize switching loss [35]. Furthermore, the large current flowing through the coil causes a burden on the electric power converter. Therefore, LCL topology was selected, as shown in Figure 11, to reduce the inverter current on the primary side [36,37]. where k and N are constants that are related to the permeability and number of turns of the Ti load coil, respectively. Finally, the load current required to generate SHS is calculated using the heat capacity Qheat expressed in Equation (1).

Design of Electric Power Converter Specifications and Simulation Verification
Because the electric power converter for the IH-type cleaning device operates at a high frequency, it must be designed to operate with zero-voltage switching (ZVS) to minimize switching loss [35]. Furthermore, the large current flowing through the coil causes a burden on the electric power converter. Therefore, LCL topology was selected, as shown in Figure 11, to reduce the inverter current on the primary side [36,37] Figure 11. Ti load with LCL topology structure.
As described above, the LCL network topology consists of an inductor (Lmat.) added for impedance matching, a parallel capacitor (Cp), and a Ti load (Leq) at the output stage. Therefore, it is possible to filter the harmonic components through the added Lmat. and Cp. In addition, there is an advantage of increasing the current in the coil of the load while reducing the current flowing through Lmat. based on the resonance network design [38]. The third-order filter network of the LCL topology Figure 11. Ti load with LCL topology structure.
As described above, the LCL network topology consists of an inductor (L mat. ) added for impedance matching, a parallel capacitor (C p ), and a Ti load (L eq ) at the output stage. Therefore, it is possible to filter the harmonic components through the added L mat. and C p . In addition, there is an advantage of increasing the current in the coil of the load while reducing the current flowing through L mat.
Energies 2020, 13, 6196 9 of 16 based on the resonance network design [38]. The third-order filter network of the LCL topology has characteristics of constant current (resonant frequency = ω r1 ) and constant voltage (resonant frequency = ω r2 ) [39,40]. Each resonant frequency and quality (Q) factor can be calculated as follows: In addition, the input/output voltage gain equation according to γ, which is the ratio of L mat. and L eq , is given by: Depending on the design of the inductance ratio γ, the LCL resonant network can be set to step up or step down output linearly. In addition, when designing L mat. for impedance matching in high power, air core coils are mainly used to prevent saturation and fluctuations in inductance values, depending on temperature. Moreover, operation at high frequencies requires film capacitors rated for high voltage and high currents of tens of hundreds of nanofarads. In addition, more accurate results can be obtained by considering the parasitic capacitance of the switch when designing the resonant network in operation at high frequencies and high voltages [41,42]. In general, the power control of the IH application with the LCL structure allows frequency control in the region higher than the ω r2 resonance frequency, and the inverter switch operates in the region where ZVS is possible. The DC voltage gain curve of the LCL resonant network according to the variation of the Q-factor value can be expressed as shown in Figure 12. Table 2 shows the amount of power required to heat SHS at temperatures above 200 • C within 10 s when saturated steam at 133.25 • C flows into the Ti load at a flow rate of 6 L/min and a pressure of 3 atm. has characteristics of constant current (resonant frequency = ωr1) and constant voltage (resonant frequency = ωr2) [39,40]. Each resonant frequency and quality (Q) factor can be calculated as follows: In addition, the input/output voltage gain equation according to γ, which is the ratio of Lmat. and Leq, is given by: Depending on the design of the inductance ratio γ, the LCL resonant network can be set to step up or step down output linearly. In addition, when designing Lmat. for impedance matching in high power, air core coils are mainly used to prevent saturation and fluctuations in inductance values, depending on temperature. Moreover, operation at high frequencies requires film capacitors rated for high voltage and high currents of tens of hundreds of nanofarads. In addition, more accurate results can be obtained by considering the parasitic capacitance of the switch when designing the resonant network in operation at high frequencies and high voltages [41,42]. In general, the power control of the IH application with the LCL structure allows frequency control in the region higher than the ωr2 resonance frequency, and the inverter switch operates in the region where ZVS is possible. The DC voltage gain curve of the LCL resonant network according to the variation of the Q-factor value can be expressed as shown in Figure 12. Table 2 shows the amount of power required to heat SHS at temperatures above 200 °C within 10 s when saturated steam at 133.25 °C flows into the Ti load at a flow rate of 6 L/min and a pressure of 3 atm. Table 2 also lists the cleaning equipment specifications and resonant network parameters.    Figure 13 shows the simulation waveforms of the current and phase of the inverter and coil based on the variations in frequency and considering the parameter values. Figure 13a shows the inverter current and phase angle of the voltage and current. The inverter can operate with ZVS at a switching frequency of 465 kHz and an inverter current of approximately 35 A rms . Figure 13b shows the coil current and phase angle of the voltage and current. The current of the coil is approximately 100 A rms at the operating frequency, and it can be confirmed that it is similar to the calculated active power. 100 Arms at the operating frequency, and it can be confirmed that it is similar to the calculated active 198 power. 199

Experimental Verification 200
Experiments were performed using a 2.2 kW prototype to validate the proposed wafer cleaning 201 IH system. Preliminary experiments were conducted to compare the heating performance of the 202 proposed Ti load with the various Ti heating objects. Finally, the SHS generation experiment of the 203 cleaning equipment with the proposed Ti load was performed. 204

Preliminary Experiment Using a Water Chiller System 205
Preliminary IH experiments were conducted using a water chiller system before generating the 206 SHS, as shown in Figure 14. The experiment was carried out using a heated object made of Ti for four 207 cases. The detailed experimental specifications and heating object conditions are presented in Table  208 3. The water to be passed through the Ti loads was cooled to 25 °C and supplied using the chiller 209 system at a flow rate of 9 L/min. Ti loads in all the four cases were fitted with a load current of 210 approximately 100 Arms. Figure 15 displays the preliminary experimental results for each Ti load case. 211

Experimental Verification
Experiments were performed using a 2.2 kW prototype to validate the proposed wafer cleaning IH system. Preliminary experiments were conducted to compare the heating performance of the proposed Ti load with the various Ti heating objects. Finally, an SHS generation experiment was performed on the cleaning equipment with the proposed Ti load.

Preliminary Experiment Using a Water Chiller System
Preliminary IH experiments were conducted using a water chiller system before generating the SHS, as shown in Figure 14. The experiment was carried out using a heated object made of Ti for four cases. The detailed experimental specifications and heating object conditions are presented in Table 3. The water to be passed through the Ti loads was cooled to 25 • C and supplied, using the chiller system, at a flow rate of 9 L/min. Ti loads in all four cases were fitted with a load current of approximately 100 A rms . Figure 15 shows the preliminary experimental results for each Ti load case. Case IV, which corresponds to the proposed Ti load, had the highest heating performance because of the IH property, which caused the outer surface of the heating body to be heated first. Case IV had a temperature rise rate (∆T/∆t) that was more than 400 times higher than that of the other cases.        Case IV, which corresponds to the proposed Ti load, has the highest heating performance because of 212 the induction heating property, owing to which the outer surface of the heating body is heated first.

213
This case has a temperature rise rate ΔT/Δt that is more than 400 times higher than those of other 214 cases. 215  Figure 15. Experimental results of temperature rise for each Ti load case. Figure 15. Experimental results of temperature rise for each Ti load case.

SHS Generation Heating Test Bed
A test bed was constructed using 2.2 kW wafer cleaning equipment, as shown in Figure 16, to verify the SHS heating performance of the proposed system. The test conditions were as follows: 1.
Saturated steam that was heated to generate SHS, supplied by preheating the water using a quartz heater.

2.
The instantaneous input and output steam temperatures of the Ti load were measured using a k-type thermocouple (TC). 3.
The copper tubing coil of the Ti load and inverter switch were water-cooled using the chiller system. 4.
The time at which the high-temperature pure SHS to be used in the wafer cleaning process was generated by IH was measured.

SHS Generation Heating Test Bed
A test bed was constructed using 2.2 kW wafer cleaning equipment, as shown in Figure 16, to verify the SHS heating performance of the proposed system. The test conditions were as follows: 1. Saturated steam that was heated to generate SHS, supplied by preheating the water using a quartz heater.
2. The instantaneous input and output steam temperatures of the Ti load were measured using a k-type thermocouple (TC).
3. The copper tubing coil of the Ti load and inverter switch were water-cooled using the chiller system. 4. The time at which the high-temperature pure SHS to be used in the wafer cleaning process was generated by IH was measured.  Figure 17 shows the voltage and current waveforms of the inverters and coils of the wafer cleaning equipment. The experimental waveform showed that the inverter operated with ZVS. The coil current was 99.93 Arms and the coil voltage was 443.7 Vrms at a switching frequency of 482 kHz. The inverter current was 31.61 Arms, apparent power was 45.4 kVA, and active power was 2.15 kW. The experimental waveform shows results that are similar to those obtained from mathematical calculations and simulations.  Figure 17 shows the voltage and current waveforms of the inverters and coils of the wafer cleaning equipment. The experimental waveform showed that the inverter operated with ZVS. The coil current was 99.93 A rms and the coil voltage was 443.7 V rms at a switching frequency of 482 kHz. The inverter current was 31.61 A rms , apparent power was 45.4 kVA, and active power was 2.15 kW. The experimental waveform shows results that are similar to those obtained from mathematical calculations and simulations. Figure 18 plots the internal and external temperatures of the Ti load and the input and output temperatures of the flowing steam measured using the TC; in this figure, the red line represents the SHS temperature, which is the steam output from the proposed cleaning equipment. In addition, Table 4 shows the temperature values measured at 10 s intervals during the heating experiment performed with an SHS generator. When the inverter was operated with saturated steam supplied from the quartz heater, SHS with a temperature higher than 200 • C was generated in 10 s. After approximately 1 min, the SHS reached a temperature of 400 • C, and the modulated set temperature of the SHS could be controlled in order to perform TFT-LCD and wafer cleaning at the required temperature.  Figure 18 plots the internal and external temperatures of the Ti load and the input and output temperatures of the flowing steam measured using the TC; in this figure, the red line represents the SHS temperature, which is the steam output from the proposed cleaning equipment. In addition, Table 4 shows the temperature values measured at 10 s intervals during the heating experiment performed with an SHS generator. When the inverter was operated with saturated steam supplied from the quartz heater, SHS with a temperature higher than 200 °C was generated in 10 s. After approximately 1 min, the SHS reached a temperature of 400 °C, and the modulated set temperature of the SHS could be controlled in order to perform TFT-LCD and wafer cleaning at the required temperature.    Figure 18 plots the internal and external temperatures of the Ti load and the input and output temperatures of the flowing steam measured using the TC; in this figure, the red line represents the SHS temperature, which is the steam output from the proposed cleaning equipment. In addition, Table 4 shows the temperature values measured at 10 s intervals during the heating experiment performed with an SHS generator. When the inverter was operated with saturated steam supplied from the quartz heater, SHS with a temperature higher than 200 °C was generated in 10 s. After approximately 1 min, the SHS reached a temperature of 400 °C, and the modulated set temperature of the SHS could be controlled in order to perform TFT-LCD and wafer cleaning at the required temperature.

Conclusions
In this study, cleaning equipment with a capacity of 2.2 kW was designed and fabricated using pure Ti to clean work pieces such as semiconductor wafers. Enthalpy steam characteristics were analyzed to perform the cleaning process with an eco-friendly method using SHS. IH was employed to rapidly and efficiently generate SHS with a high temperature and pressure. A heating object with a structure in which the inner fluid path was made of pure Ti and the fluid could stay within a limited length for a long time was proposed. The output power of the cleaning equipment for generating SHS was derived based on mathematical calculations and simulations. In order to effectively increase the current flowing through the coil used for IH, the LCL resonance network was applied to the proposed power converter, and the parameter values were analyzed. The steam heating performance of the proposed cleaning equipment was verified by the experimental results, which demonstrate that the designed cleaning equipment generates SHS with a temperature of 200 • C in 10 s and that the SHS reaches 400 • C after 60 s. The proposed cleaning system can contribute to the successful commercialization of wafer cleaning by satisfying the requirements of wafer cleaning processes.